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Equivalence of Fell Systems and their Reduced C*-Algebras

This paper is aimed at investigating links between Fell bundles over Morita equivalent groupoids and their corresponding reduced C*-algebras. Mainly, we review the notion of Fell pairs over a Morita equivalence of groupoids, and give the analogue of the Renault's Equivalence Theorem for the reduced C*-algebras of equivalent Fell systems. Eventually, we will use this theorem to connect the reduced C*-algebra of an S^1-central groupoid extension to that of its associated Dixmier-Douady bundle.

preprint2011arXivOpen access
El-kaïoum M. MoutuouJean-Louis Tu
math.OAmath.FAmath.KT
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El-kaïoum M. MoutuouJean-Louis Tu

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